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113102000 = 2453115397
BaseRepresentation
bin1101011110111…
…00110010110000
321212211011202222
412233130302300
5212423231000
615120100212
72542231304
oct657346260
9255734688
10113102000
1158930230
1231a64668
131a58027b
1411041d04
159de1a85
hex6bdccb0

113102000 has 160 divisors (see below), whose sum is σ = 307105344. Its totient is φ = 39936000.

The previous prime is 113101999. The next prime is 113102047. The reversal of 113102000 is 201311.

It is a Harshad number since it is a multiple of its sum of digits (8).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1165952 + ... + 1166048.

Almost surely, 2113102000 is an apocalyptic number.

113102000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 113102000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153552672).

113102000 is an abundant number, since it is smaller than the sum of its proper divisors (194003344).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

113102000 is a wasteful number, since it uses less digits than its factorization.

113102000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 184 (or 168 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 8.

The square root of 113102000 is about 10634.9424069903. The cubic root of 113102000 is about 483.6042344482.

Adding to 113102000 its reverse (201311), we get a palindrome (113303311).

The spelling of 113102000 in words is "one hundred thirteen million, one hundred two thousand".

Divisors: 1 2 4 5 8 10 11 16 20 22 25 40 44 50 53 55 80 88 97 100 106 110 125 176 194 200 212 220 250 265 275 388 400 424 440 485 500 530 550 583 776 848 880 970 1000 1060 1067 1100 1166 1325 1375 1552 1940 2000 2120 2134 2200 2332 2425 2650 2750 2915 3880 4240 4268 4400 4664 4850 5141 5300 5335 5500 5830 6625 7760 8536 9328 9700 10282 10600 10670 11000 11660 12125 13250 14575 17072 19400 20564 21200 21340 22000 23320 24250 25705 26500 26675 29150 38800 41128 42680 46640 48500 51410 53000 53350 56551 58300 72875 82256 85360 97000 102820 106000 106700 113102 116600 128525 133375 145750 194000 205640 213400 226204 233200 257050 266750 282755 291500 411280 426800 452408 514100 533500 565510 583000 642625 904816 1028200 1067000 1131020 1166000 1285250 1413775 2056400 2134000 2262040 2570500 2827550 4524080 5141000 5655100 7068875 10282000 11310200 14137750 22620400 28275500 56551000 113102000